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Finding the Third Proportional to 88,950.75 and 130,282.50

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Solution

The third proportional to 88,950.75 and 130,282.50 is: 190,819.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    88,950.75 : 130,282.50 = 130,282.50 : x
  2. Step 2: Convert to fraction form
    88,950.75/130,282.50 = 130,282.50/x
  3. Step 3: Cross multiply
    88,950.75x = 130,282.50 × 130,282.50
  4. Step 4: Simplify right side
    88,950.75x = 16,973,529,806.25
  5. Step 5: Solve for x
    x = 16,973,529,806.25/88,950.75
  6. Step 6: Final answer
    x = 190,819.41

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.